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Fuzzy stochastic ordering for C-Fuzzy random variables and its applications

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Abstract

This paper deals with the study of stochastic orderings for special kind of fuzzy random variables so-called triangular fuzzy random variables. To this end, first we will introduce the concept of c-fuzzy random variables. Then, the traditional definition of usual stochastic orderings were extended for c-fuzzy random variables. Also, the upshifted hazard rate orderings and upshifted mean residual life orderings as well as the relationship between them has been studied in this context. In order to illustrate the proposed approach, some practical examples are given.

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Acknowledgments

The authors would like to thanks anonymous referees for their constructive comments on this article. This research was supported by grant from Ordered and Spatial Data Center of Excellence of Ferdowsi University of Mashhad.

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Authors and Affiliations

  1. Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, 91775-1159 , Mashhad, Iran

    R. Zarei, M. Amini & A.H. Rezaei Roknabadi

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  1. R. Zarei
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  2. M. Amini
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  3. A.H. Rezaei Roknabadi
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Correspondence to M. Amini.

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Communicated by M. J. Watts.

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Zarei, R., Amini, M. & Rezaei Roknabadi, A. Fuzzy stochastic ordering for C-Fuzzy random variables and its applications. Soft Comput 19, 179–188 (2015). https://doi.org/10.1007/s00500-014-1241-9

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